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Finding the Fourth Proportional to 684,200.20, 944,193.90 and 382,394.20

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Solution

The fourth proportional to 684,200.20, 944,193.90 and 382,394.20 is: 527,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,200.20 : 944,193.90 = 382,394.20 : x
  2. Step 2: Convert to fraction form
    684,200.20/944,193.90 = 382,394.20/x
  3. Step 3: Cross multiply
    684,200.20x = 944,193.90 × 382,394.20
  4. Step 4: Simplify right side
    684,200.20x = 361,054,271,035.38
  5. Step 5: Solve for x
    x = 361,054,271,035.38/684,200.20
  6. Step 6: Final answer
    x = 527,702.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.